A multigrid method for kernel functions acting on interacting structures with applications to biofluids

• Published in: Journal of computational physics Vol. 494; p. 112506
• Main Authors: Liu, Weifan, Rostami, Minghao W.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.12.2023
• Subjects: Block Gauss-Seidel; Fluid-structure interaction; Kernel function; Method of regularized Stokeslets; Multigrid; Kernel function; Block Gauss-Seidel; Method of regularized Stokeslets; Multigrid; Fluid-structure interaction

Simulating the dynamics of discretized interacting structures whose relationship is dictated by a kernel function gives rise to a large dense matrix. We propose a multigrid solver for such a matrix that exploits not only its data-sparsity resulting from the decay of the kernel function but also the...